Vaccination and herd immunity thresholds in heterogeneous populations

DOI10.1007/s00285-021-01686-zzbMath1480.92125OpenAlexW4226209245WikidataQ113905440 ScholiaQ113905440MaRDI QIDQ2067643

Elamin H. Elbasha, Abba B. Gumel

Publication date: 18 January 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-021-01686-z

zbMATH Keywords

heterogeneitybasic reproduction numberhomogeneous populationmixing patternherd immunity thresholdSVIR model

Mathematics Subject Classification ID

Applications of branching processes (60J85) Medical epidemiology (92C60)

Related Items

Herd immunity under individual variation and reinfection, An epidemic model with time-distributed recovery and death rates, Mutations make pandemics worse or better: modeling SARS-CoV-2 variants and imperfect vaccination, Stochastic multi-group epidemic SVIR models: degenerate case, Incorporating mass vaccination into compartment models for infectious diseases

Cites Work

• The final size of an epidemic and its relation to the basic reproduction number
• The effect of population heterogeneities upon spread of infection
• Mixing in age-structured population models of infectious diseases
• Vaccine impact in homogeneous and age-structured models
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• The Mathematics of Infectious Diseases
• A mathematical model reveals the influence of population heterogeneity on herd immunity to SARS-CoV-2
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